91影视

Displacement is defined as the shortest path between the initial and final positions. It is a vector quantity.

To calculate the distance from starting point to the final point, the resultant vector is

\(\overrightarrow R = \overrightarrow A + \overrightarrow B \)

Here\(\overrightarrow A \)is the total x-component of displacement and\(\overrightarrow B \)is the total y-component of displacement.

By vector law of addition, the resultant vector is

\(|\vec R| = \sqrt {{A^2} + {B^2} + 2AB\cos \theta } \)鈥︹�︹�︹��..(1)

Given data:

Given data:

• \(\overrightarrow A = 18\;{\rm{m}}\)
• \(\overrightarrow B = 25\;{\rm{m}}\)
• 饾泬=90$掳$uncaught exception: Http Error #403
  
  in file: /var/www/html/integration/lib/com/wiris/plugin/impl/HttpImpl.class.php line 68
  #0 /var/www/html/integration/lib/php/Boot.class.php(769): com_wiris_plugin_impl_HttpImpl_1(Object(com_wiris_plugin_impl_HttpImpl), NULL, 'http://www.wiri...', 'Http Error #403') #1 /var/www/html/integration/lib/haxe/Http.class.php(532): _hx_lambda->execute('Http Error #403') #2 /var/www/html/integration/lib/php/Boot.class.php(769): haxe_Http_5(true, Object(com_wiris_plugin_impl_HttpImpl), Object(com_wiris_plugin_impl_HttpImpl), Array, Object(haxe_io_BytesOutput), true, 'Http Error #403') #3 /var/www/html/integration/lib/com/wiris/plugin/impl/HttpImpl.class.php(30): _hx_lambda->execute('Http Error #403') #4 /var/www/html/integration/lib/haxe/Http.class.php(444): com_wiris_plugin_impl_HttpImpl->onError('Http Error #403') #5 /var/www/html/integration/lib/haxe/Http.class.php(458): haxe_Http->customRequest(true, Object(haxe_io_BytesOutput), Object(sys_net_Socket), NULL) #6 /var/www/html/integration/lib/com/wiris/plugin/impl/HttpImpl.class.php(43): haxe_Http->request(true) #7 /var/www/html/integration/lib/com/wiris/plugin/impl/RenderImpl.class.php(268): com_wiris_plugin_impl_HttpImpl->request(true) #8 /var/www/html/integration/lib/com/wiris/plugin/impl/RenderImpl.class.php(307): com_wiris_plugin_impl_RenderImpl->showImage('c716977a12f9565...', NULL, Object(PhpParamsProvider)) #9 /var/www/html/integration/createimage.php(17): com_wiris_plugin_impl_RenderImpl->createImage('

Substituting the values in equation (1), we get

\(\begin{array}{c}|\vec R|\; = \sqrt {{{18}^2} + {{25}^2} + 2 \times 18 \times 25\cos {{90}^ \circ }} \\|\vec R|\; = \sqrt {{{18}^2} + {{25}^2}} \\|\vec R|\; = \sqrt {324 + 625} \\|\vec R|\; = \sqrt {949} \\|\vec R|\; = 30.8\;\;{\rm{m}}\end{array}\)

Therefore the resultant vector is \(30.8\)m.